dc.contributor | Universidade Federal do Rio de Janeiro (UFRJ) | |
dc.contributor | Universidade Federal de São Paulo (UNIFESP) | |
dc.contributor | Univ Louisville | |
dc.contributor | Ashoka Univ | |
dc.contributor | Universidade Estadual Paulista (Unesp) | |
dc.contributor | Inst Nacl Matemat Pura & Aplicada | |
dc.date.accessioned | 2018-11-26T17:48:22Z | |
dc.date.available | 2018-11-26T17:48:22Z | |
dc.date.created | 2018-11-26T17:48:22Z | |
dc.date.issued | 2018-05-01 | |
dc.identifier | Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 461, n. 1, p. 796-816, 2018. | |
dc.identifier | 0022-247X | |
dc.identifier | http://hdl.handle.net/11449/163907 | |
dc.identifier | 10.1016/j.jmaa.2017.11.059 | |
dc.identifier | WOS:000426141100044 | |
dc.identifier | WOS000426141100044.pdf | |
dc.description.abstract | In the early 1970's Eisenberg and Hedlund investigated relationships between expansivity and spectrum of operators on Banach spaces. In this paper we establish relationships between notions of expansivity and hypercyclicity, supercyclicity, Li-Yorke chaos and shadowing. In the case that the Banach space is c(0) or l(p) (1 <= p < infinity), we give complete characterizations of weighted shifts which satisfy various notions of expansivity. We also establish new relationships between notions of expansivity and spectrum. Moreover, we study various notions of shadowing for operators on Banach spaces. In particular, we solve a basic problem in linear dynamics by proving the existence of nonhyperbolic invertible operators with the shadowing property. This contrasts with the expected results for nonlinear dynamics on compact manifolds, illuminating the richness of dynamics of infinite dimensional linear operators. (C) 2017 Elsevier Inc. All rights reserved. | |
dc.language | eng | |
dc.publisher | Elsevier B.V. | |
dc.relation | Journal Of Mathematical Analysis And Applications | |
dc.rights | Acesso aberto | |
dc.source | Web of Science | |
dc.subject | Expansive | |
dc.subject | Hypercyclic | |
dc.subject | Li-Yorke | |
dc.subject | Hyperbolic | |
dc.subject | Shadowing | |
dc.subject | Weighted shifts | |
dc.title | Expansivity and shadowing in linear dynamics | |
dc.type | Artículos de revistas | |